Register to reply

General simple closed curve equation

by Integratethis
Tags: simple closed curve
Share this thread:
Nov28-12, 03:10 PM
P: 2
I have a list of points on a 2D simple closed curve and I'd like to approximate that curve using a polynomial such that the approximation will be given by:
Ʃai,jxiyj = 0

However, I still need to limit the ai,j to make sure the approximation is also a simple closed curve, while still keeping the equation as general as possible(so it can be used for all sorts of simple closed curves).

I haven't found a general equation such as this, and I was hoping you guys could point me in the right direction(or just tell me if such a thing doesn't exist).

Phys.Org News Partner Science news on
Final pieces to the circadian clock puzzle found
A spray-on light show on four wheels: Darkside Scientific
How an ancient vertebrate uses familiar tools to build a strange-looking head

Register to reply

Related Discussions
Forming Equation from a graph of a closed curve(complicated tangle) Calculus 0
Finding equation of curve from simple graph General Math 10
Is there exist a shortest closed curve in the homology class of a simple closed curve Differential Geometry 5
Simple closed curve area? Calculus 6
Complex analysis - area inside a simple closed curve Calculus 1